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Finding the Fourth Proportional to 141,086.34, 194,704.77 and 77,426.42

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Solution

The fourth proportional to 141,086.34, 194,704.77 and 77,426.42 is: 106,851.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,086.34 : 194,704.77 = 77,426.42 : x
  2. Step 2: Convert to fraction form
    141,086.34/194,704.77 = 77,426.42/x
  3. Step 3: Cross multiply
    141,086.34x = 194,704.77 × 77,426.42
  4. Step 4: Simplify right side
    141,086.34x = 15,075,293,298.02
  5. Step 5: Solve for x
    x = 15,075,293,298.02/141,086.34
  6. Step 6: Final answer
    x = 106,851.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.